Local systems, composed of Renewable Energy Sources, generators, loads and storage devices, perform energy transfers between system components. The number of possible configurations of energy transfers grows rapidly with the number of system components, making reliable energy management a difficult task. This paper presents an approach to describe the system operation, according its energy transfers, in form of the automatically generated directed graph. The approach is focused on finding the complete set of all possible system states, that are not prohibited by the operation strategy nor inconsistent. The method is very general and can be applicable to arbitrary system configuration, that can be described at the level of components with only basic attributes and sequences of interactions. Namely, the system components are categorized according to their roles (source/sink/both), fitting in the system (rigid/adaptive) and their persistence (permanent/temporary). The key point of this method is that the final energy transfers diagram is extracted from the initial full graph by filtering out the nodes and transitions not allowed by the defined system operation principle, but leaving all the remaining states. In this way, no consistent system state is overlooked. The generated diagram may be used for studying and visualizing system operation policy, registering the energy flows, discovering doubtful states and transitions or finally for implementation of a reliable energy management controller.